Atkin-Lehner |
3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953p |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-1256559438771 = -1 · 36 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3- -3 7+ -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3887,106460] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:3377:8] |
Generators of the group modulo torsion |
j |
-1126924288/217971 |
j-invariant |
L |
3.7467777130808 |
L(r)(E,1)/r! |
Ω |
0.82658164631983 |
Real period |
R |
2.2664292933236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43953c1 |
Quadratic twists by: -7 |